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The work discusses a new low-rank Monte Carlo technique to solve Smoluchowski-like kinetic equations. It drastically decreases the computational complexity of modeling of size-polydisperse systems. For the studied systems it can outperform the ...

• Low-rank approximation accelerates Monte Carlo simulations.
• Segment trees are used to quickly select particle pairs.
• Applicable to classical and temperature-dependent Smoluchowski equations.

We revisit two basic Direct Simulation Monte Carlo Methods to model aggregation kinetics and extend them for aggregation processes with collisional fragmentation (shattering). We test the performance and accuracy of the extended ...

An efficient implementation of the Newton–Krylov iterative method finding numerical solutions of aggregation–fragmentation equations without spontaneous fragmentation is reported. It is based on application of fast numerical schemes ...

• Efficient implementation of Newton–Krylov method for (quasi-)stationary problems for Smoluchowski-type equations.

Stochastic particle-resolved methods are a useful way to compute the time evolution of the multi-dimensional size distribution of atmospheric aerosol particles. An effective approach to improve the efficiency of such models is the use of weighted ...